English

Discrete Extension Operators for Mixed finite element spaces on locally refined meshes

Numerical Analysis 2015-03-03 v2

Abstract

The existence of uniformly bounded discrete extension operators is established for conforming Raviart-Thomas and N\'ed\'elec discretisations of H(div)H(div) and H(curl)H(curl) on locally refined partitions of a polyhedral domain into tetrahedra.

Keywords

Cite

@article{arxiv.1406.5534,
  title  = {Discrete Extension Operators for Mixed finite element spaces on locally refined meshes},
  author = {Mark Ainsworth and Johnny Guzmán and Francisco-Javier Sayas},
  journal= {arXiv preprint arXiv:1406.5534},
  year   = {2015}
}